Category:Definitions/Left Quasi-Reflexive Relations

This category contains definitions related to Left Quasi-Reflexive Relations.
Related results can be found in Category:Left Quasi-Reflexive Relations.

Definition 1

$\RR$ is left quasi-reflexive if and only if:

$\forall x, y \in S: \tuple {x, y} \in \RR \implies \tuple {x, x} \in \RR$

Definition 2

$\RR$ is left quasi-reflexive if and only if:

$\forall x \in \Dom \RR: \tuple {x, x} \in \RR$

where $\Dom \RR$ denotes the domain of $\RR$.